Seems like you might not be having the latest version of Lightroom as the raw files of Cannon 5DS R are supported in Lightroom 6.0 and higher (not in previous versions)
What exact version of LR are you using? More than likely you are using an older version of LR that does not support that camera.
You have 2 options.
1) Upgrade to a newer version of LR.
2) Use the newest version of the Free Adobe DNG converter so your older version of LR can import and read those files.
What is he best way to upgrade from Lightroom 5 to Lightroom 6?
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you can go for upgrade to standalone Lightroom 6
or, you can go for a monthly subscription of $9.99 which includes Lightroom CC2015 and Photoshop CC2015 and you get all upgrades in the subscription plan.
1) buy the Photographers subscription plan and get both LR CC/6 and Photoshop. $9.99 a month.
2) Buy LR 6 Upgrade as a Stand Alone program for $79 and forgo some new features already included in the CC version.
If you go for the 6 upgrade versions, stand alone, when installing and starting for the first time you will need to sign in with an Adobe ID that is not tied to any Adobe subscription and you will need both the serial numbers from the new 6 version and your original 5 version.
If you are asking about how the install works it install 6 or CC as a separate program leaving your version 5 as it is. The new version makes a copy of the LR catalog and converts that copy to work with CC/6 leaving your LR 5 catalog in tact.